Elementary Introduction to New Generalized Functions is popular PDF and ePub book, written by J.F. Colombeau in 2011-08-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Elementary Introduction to New Generalized Functions can be Read Online from any device for your convenience.
Elementary Introduction to New Generalized Functions Book PDF Summary
The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R&eegr;, of C∞ functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.
Detail Book of Elementary Introduction to New Generalized Functions PDF
- Author : J.F. Colombeau
- Release : 18 August 2011
- Publisher : Elsevier
- ISBN : 9780080872247
- Genre : Mathematics
- Total Page : 297 pages
- Language : English
- PDF File Size : 9,7 Mb
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